Finite Group Databasebeta

← #28270335

Subgroups — #28270335

Order 13568.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289031C211yesmaximal, characteristic, complemented
2#20288376C211yesmaximal, characteristic, complemented
3#20286873C211yesmaximal, characteristic, complemented
4#20286738C211yesmaximal, characteristic, complemented
5#20286723C211yesmaximal, characteristic, complemented
6#20286708C211yesmaximal, characteristic, complemented
7#20286666C211yesmaximal, characteristic, complemented
8#20286604C211yesmaximal, characteristic, complemented
9#20286567C211yesmaximal, characteristic, complemented
10#20286529C211yesmaximal, characteristic, complemented
11#20286475C211yesmaximal, characteristic, complemented
12#20286427C211yesmaximal, characteristic, complemented
13#20286402C211yesmaximal, characteristic, complemented
14D4×D424C211yesmaximal, characteristic, complemented
15#20286260C211yesmaximal, characteristic, complemented
16#20286260C211yesmaximal, characteristic, complemented
17#20286215C211yesmaximal, characteristic, complemented
18#20286200C211yesmaximal, characteristic, complemented
19#20285811C211yesmaximal, characteristic, complemented
20#20285767C211yesmaximal, characteristic, complemented
21#20285617C211yesmaximal, characteristic, complemented
22#20285569C211yesmaximal, characteristic, complemented
23#20285482C211yesmaximal, characteristic, complemented
24#20285466C211yesmaximal, characteristic, complemented
25#20284979C211yesmaximal, characteristic, complemented
26#20284916C211yesmaximal, characteristic, complemented
27#20284022C211yesmaximal, characteristic, complemented
28#20283985C211yesmaximal, characteristic, complemented
29#20283937C211yesmaximal, characteristic, complemented
30C2×#16810770C211yesmaximal, characteristic, complemented
31C53×#2977C211yesmaximal, characteristic, complemented
32C2×#13133263C2211yescharacteristic, complemented
33C22×#11719945C2211yescharacteristic, complemented
34C2×#13133245C2211yescharacteristic, complemented
35C2×#13133245C2211yescharacteristic, complemented
36C2×#13133239C2211yescharacteristic, complemented
37C2×#13133239C2211yescharacteristic, complemented
38C2×#13133239C2211yescharacteristic, complemented
39C22×#11719913C2211yescharacteristic, complemented
40C22×D424C2211yescharacteristic, complemented
41C22×D424C2211yescharacteristic, complemented
42#16811369—21no—
43#16811361—21no—
44#16811338C2211yescharacteristic, complemented
45#16811319C2211yescharacteristic, complemented
46#16811313C2211yescharacteristic, complemented
47#16811300—21no—
48#16811294C2211yescharacteristic, complemented
49#16811294C2211yescharacteristic, complemented
50#16811294C2211yescharacteristic, complemented
51#16811282C2211yescharacteristic
52#16811282C2211yescharacteristic, complemented
53#16811277C2211yescharacteristic, complemented
54#16811269C2211yescharacteristic, complemented
55#16811269C2211yescharacteristic, complemented
56#16811269C2211yescharacteristic, complemented
57#16811269C2211yescharacteristic, complemented
58#16811265—21no—
59#16811265—21no—
60#16811262—21no—
61D4×D212C2211yescharacteristic
62D4×D212C2211yescharacteristic, complemented
63D4×D212C2211yescharacteristic, complemented
64#16811255—21no—
65#16811255—21no—
66#16811244C2211yescharacteristic, complemented
67#16811228C2211yescharacteristic, complemented
68#16811225—21no—
69#16811209—21no—
70#16811203—21no—
71#16811201C2211yescharacteristic, complemented
72#16811201C2211yescharacteristic, complemented
73#16811192C2211yescharacteristic, complemented
74#16811189—21no—
75#16811188—21no—
76#16811187C2211yescharacteristic, complemented
77#16811183—21no—
78#16811136—21no—
79#16811134C2211yescharacteristic, complemented
80C2×#13133191C2211yescharacteristic, complemented
81C2×#13133191C2211yescharacteristic, complemented
82#121×D53—21no—
83#16811103C2211yescharacteristic, complemented
84#16811012C2211yescharacteristic, complemented
85#16811012C2211yescharacteristic, complemented
86#16811007C2211yescharacteristic, complemented
87#16811000C2211yescharacteristic, complemented
88#16810988C2211yescharacteristic, complemented
89#16810983C2211yescharacteristic, complemented
90#16810978C2211yescharacteristic, complemented
91#16810970C2211yescharacteristic, complemented
92#16810965C2211yescharacteristic, complemented
93#16810959C2211yescharacteristic, complemented
94#16810959C2211yescharacteristic, complemented
95#16810948C2211yescharacteristic, complemented
96#16810948C2211yescharacteristic, complemented
97#16810948C2211yescharacteristic, complemented
98#16810942C2211yescharacteristic, complemented
99#16810937C2211yescharacteristic, complemented
100#16810937C2211yescharacteristic, complemented
101#16810937C2211yescharacteristic, complemented
102#16810937C2211yescharacteristic, complemented
103#16810937C2211yescharacteristic, complemented
104#16810931C2211yescharacteristic, complemented
105#16810924C2211yescharacteristic, complemented
106#16810919C2211yescharacteristic, complemented
107#16810904C2211yescharacteristic, complemented
108#16810876C2211yescharacteristic, complemented
109#16810869C2211yescharacteristic, complemented
110#16810869C2211yescharacteristic, complemented
111#16810869C2211yescharacteristic, complemented
112#16810864C2211yescharacteristic, complemented
113#16810859C2211yescharacteristic, complemented
114#16810859C2211yescharacteristic, complemented
115#16810859C2211yescharacteristic, complemented
116#16810859C2211yescharacteristic, complemented
117#16810859C2211yescharacteristic, complemented
118#16810859C2211yescharacteristic, complemented
119#16810859C2211yescharacteristic, complemented
120#16810859C2211yescharacteristic, complemented
121#16810852C2211yescharacteristic, complemented
122#16810852C2211yescharacteristic, complemented
123#16810852C2211yescharacteristic, complemented
124#16810846C2211yescharacteristic, complemented
125#16810846C2211yescharacteristic, complemented
126#16810839C2211yescharacteristic, complemented
127#16810839C2211yescharacteristic, complemented
128#16810839C2211yescharacteristic, complemented
129#16810839C2211yescharacteristic, complemented
130#16810824C2211yescharacteristic, complemented
131#16810824C2211yescharacteristic, complemented
132#16810819C2211yescharacteristic, complemented
133#16810819C2211yescharacteristic, complemented
134#16810819C2211yescharacteristic, complemented
135#16810819C2211yescharacteristic, complemented
136#16810787C2211yescharacteristic, complemented
137#16810787C2211yescharacteristic, complemented
138#16810787C2211yescharacteristic, complemented
139#16810787C2211yescharacteristic, complemented
140#16810781C2211yescharacteristic, complemented
141#16810776C2211yescharacteristic, complemented
142#16810776C2211yescharacteristic, complemented
143#16810776C2211yescharacteristic, complemented
144#16810776C2211yescharacteristic, complemented
145#16810770C2211yescharacteristic
146#16810770C2211yescharacteristic, complemented
147#16810770C2211yescharacteristic, complemented
148#16810770C2211yescharacteristic, complemented
149#16810770C2211yescharacteristic, complemented
150#16810770C2211yescharacteristic, complemented
151#16810770C2211yescharacteristic, complemented
152#16810770C2211yescharacteristic, complemented
153#16810770C2211yescharacteristic, complemented
154#16810770C2211yescharacteristic, complemented
155#16810770C2211yescharacteristic, complemented
156#16810770C2211yescharacteristic, complemented
157#16810770C2211yescharacteristic, complemented
158#16810770C2211yescharacteristic, complemented
159#16810770C2211yescharacteristic, complemented
160#16810770C2211yescharacteristic, complemented
161#16810764C2211yescharacteristic, complemented
162#16810759C2211yescharacteristic, complemented
163#16810759C2211yescharacteristic, complemented
164#16810759C2211yescharacteristic, complemented
165#16810759C2211yescharacteristic, complemented
166#16810759C2211yescharacteristic, complemented
167#16810759C2211yescharacteristic, complemented
168#16810759C2211yescharacteristic, complemented
169#16810759C2211yescharacteristic, complemented
170#16810759C2211yescharacteristic, complemented
171#16810759C2211yescharacteristic, complemented
172#16810736C2211yescharacteristic, complemented
173#16810725C2211yescharacteristic, complemented
174#16810725C2211yescharacteristic, complemented
175#16810725C2211yescharacteristic, complemented
176C4×Dic212C2211yescharacteristic, complemented
177C4×#11719913C2211yescharacteristic, complemented
178C4×D424C2211yescharacteristic, complemented
179C4×D424C2211yescharacteristic, complemented
180#16810629C2211yescharacteristic, complemented
181#16810625C2211yescharacteristic, complemented
182#16810620C2211yescharacteristic, complemented
183#16810620C2211yescharacteristic, complemented
184#16810620C2211yescharacteristic, complemented
185C2×#13133142C2211yescharacteristic, complemented
186C2×#13133139C2211yescharacteristic, complemented
187C2×#13133139C2211yescharacteristic, complemented
188C53×#525C2211yescharacteristic
189C53×#435C2211yescharacteristic, complemented
190C53×#435C2211yescharacteristic, complemented
191C53×#435C2211yescharacteristic, complemented
192C53×#435C2211yescharacteristic, complemented
193C8×D4×C53C2211yescharacteristic, complemented
194C8×D4×C53C2211yescharacteristic, complemented
195C8×D4×C53C2211yescharacteristic, complemented
196C8×D4×C53C2211yescharacteristic, complemented
197C53×#433C2211yescharacteristic, complemented
198C53×#433C2211yescharacteristic, complemented
199C53×#408C2211yescharacteristic, complemented
200C53×#408C2211yescharacteristic, complemented
201C2×C22⋊C8×C53C2211yescharacteristic, complemented
202C2×C22⋊C8×C53C2211yescharacteristic, complemented
203#13133263—42no—
204#13133263—42no—
205C2×#11719949—21no—
206C2×#11719945—21no—
207C2×#11719945—21no—
208C2×#11719945—42no—
209C2×#11719945—42no—
210C2×#11719945C2311yescharacteristic
211C2×#11719945C2311yescharacteristic
212C2×#11719945C2311yescharacteristic
213C2×#11719945C2311yescharacteristic
214C2×#11719945C2311yescharacteristic
215C2×#11719945C2311yescharacteristic
216C2×#11719945C2311yescharacteristic
217C2×#11719945C2311yescharacteristic
218C2×#11719947—21no—
219C22×Dic106C2311yescharacteristic
220C22×D212C2311yescharacteristic
221C22×D212C2311yescharacteristic
222C22×D212C2311yescharacteristic
223C22×D212C2311yescharacteristic
224C22×D212C2311yescharacteristic
225C22×D212C2311yescharacteristic
226C22×C22⋊D53—21no—
227C22×C22⋊D53—21no—
228C22×C22⋊D53—21no—
229C2×D4×D53—21no—
230C2×D4×D53—21no—
231C2×D4×D53—21no—
232C2×D4×D53—21no—
233C2×D4×D53—21no—
234C2×D4×D53—21no—
235C22×C4×D53—21no—
236#13133245—42no—
237#13133245—42no—
238#13133239—42no—
239#13133239—42no—
240#13133239—42no—
241C2×Dic212C2311yescharacteristic
242C2×Dic212C2311yescharacteristic
243C2×#11719913—42no—
244C2×#11719913C2311yescharacteristic
245C2×#11719913C2311yescharacteristic
246C2×#11719913C2311yescharacteristic
247C2×#11719913C2311yescharacteristic
248C2×#11719913C2311yescharacteristic
249C2×#11719913C2311yescharacteristic
250C2×#11719913C2311yescharacteristic
251C2×#11719913C2311yescharacteristic
252C2×#11719913C2311yescharacteristic
253C2×#11719913C2311yescharacteristic
254C2×D424—42no—
255C2×D424—42no—
256C2×D424C2311yescharacteristic
257C2×D424C2311yescharacteristic
258C2×D424C2311yescharacteristic
259C2×D424C2311yescharacteristic
260C2×D424C2311yescharacteristic
261C2×D424C2311yescharacteristic
262C2×D424C2311yescharacteristic
263C2×D424C2311yescharacteristic
264C2×D424C2311yescharacteristic
265C2×D424C2311yescharacteristic
266C2×D424C2311yescharacteristic
267C2×D424C2311yescharacteristic
268#13133217C2311yescharacteristic
269#13133214C2311yescharacteristic
270#13133214C2311yescharacteristic
271#13133214C2311yescharacteristic
272#13133213—21no—
273#13133213—21no—
274#13133213—21no—
275#13133213—21no—
276#13133212—21no—
277#13133212—21no—
278#13133210—21no—
279#13133209C2311yescharacteristic
280#13133207—21no—
281#13133206—21no—
282#13133205C2311yescharacteristic
283#13133205C2311yescharacteristic
284#13133205C2311yescharacteristic
285#13133203—21no—
286#13133203—21no—
287#13133203—21no—
288#13133203—21no—
289#13133203—21no—
290#13133202—21no—
291#13133202—21no—
292#13133202—21no—
293#13133202—21no—
294#13133202—21no—
295#13133202—21no—
296#13133201—21no—
297#13133201—21no—
298#13133200—21no—
299#13133199—21no—
300#13133199—21no—
301#13133198—21no—
302#13133197—21no—
303#13133196C2311yescharacteristic
304#13133196C2311yescharacteristic
305#13133196C2311yescharacteristic
306#13133196C2311yescharacteristic
307#13133196C2311yescharacteristic
308#13133195—21no—
309#13133195—21no—
310#13133195—21no—
311#13133193—21no—
312#13133193—21no—
313#13133192—21no—
314#13133192—21no—
315#13133192—21no—
316#13133192—21no—
317#13133192—21no—
318#13133191—21no—
319#13133191—21no—
320#13133191—21no—
321#13133191—21no—
322#13133191C2311yescharacteristic
323#13133191C2311yescharacteristic
324#13133191C2311yescharacteristic
325#13133191C2311yescharacteristic
326#13133191C2311yescharacteristic
327#13133191C2311yescharacteristic
328#13133191C2311yescharacteristic
329#13133191C2311yescharacteristic
330#13133191C2311yescharacteristic
331#13133191C2311yescharacteristic
332#13133191C2311yescharacteristic
333#13133191C2311yescharacteristic
334#13133191C2311yescharacteristic
335#13133191C2311yescharacteristic
336#13133191C2311yescharacteristic
337#13133190—21no—
338#13133190—21no—
339#13133190—21no—
340#13133190—21no—
341#13133190—21no—
342#13133190—21no—
343#13133190—21no—
344#13133190—21no—
345#13133190—21no—
346#13133190—21no—
347#13133190—21no—
348#13133190—21no—
349#13133189—21no—
350#13133189—21no—
351#13133189—21no—
352#13133189—21no—
353#13133189—21no—
354#13133189—21no—
355#13133189—21no—
356#13133188—21no—
357#13133188—21no—
358#13133188—21no—
359#13133187—21no—
360#13133187—21no—
361#13133187—21no—
362#13133187—21no—
363#13133187—21no—
364#13133187—21no—
365#13133187—21no—
366#13133187—21no—
367#13133186—21no—
368#13133185—21no—
369#13133185—21no—
370#13133185—21no—
371#13133185—21no—
372#13133185—21no—
373#13133185—21no—
374C4×Dic106C2311yescharacteristic
375C4×Dic106C2311yescharacteristic
376C4×Dic106C2311yescharacteristic
377C4×D212C2311yescharacteristic
378C4×D212C2311yescharacteristic
379C4×D212C2311yescharacteristic
380C4×D212C2311yescharacteristic
381C4×D212C2311yescharacteristic
382#13133179—21no—
383#13133179—21no—
384#13133179—21no—
385C4×C22⋊D53—21no—
386C4×C22⋊D53—21no—
387#13133177—21no—
388#13133177—21no—
389#13133177—21no—
390#13133177—21no—
391#13133177—21no—
392#13133176C2311yescharacteristic
393#13133176C2311yescharacteristic
394#13133175—21no—
395#13133175—21no—
396#13133173—21no—
397C2×C4⋊Dic53C2311yescharacteristic
398C2×C4⋊Dic53C2311yescharacteristic
399C2×C4⋊Dic53C2311yescharacteristic
400C4⋊C4×D53—21no—
401C2×#11719921—21no—
402C2×#11719921—21no—
403C22⋊C4×D53—21no—
404C22⋊C4×D53—21no—
405C22⋊C4×D53—21no—
406C22⋊C4×D53—21no—
407#13133151C2311yescharacteristic
408#13133151C2311yescharacteristic
409#13133151C2311yescharacteristic
410#13133151C2311yescharacteristic
411#13133151C2311yescharacteristic
412#13133151C2311yescharacteristic
413#13133149C2311yescharacteristic
414#13133149C2311yescharacteristic
415#13133142C2311yescharacteristic
416#13133142C2311yescharacteristic
417#13133142C2311yescharacteristic
418#13133142C2311yescharacteristic
419#13133142C2311yescharacteristic
420#13133142C2311yescharacteristic
421#13133142C2311yescharacteristic
422#13133142C2311yescharacteristic
423#13133142C2311yescharacteristic
424#13133142C2311yescharacteristic
425#13133139C2311yescharacteristic
426#13133139C2311yescharacteristic
427#13133139C2311yescharacteristic
428#13133139C2311yescharacteristic
429#13133139C2311yescharacteristic
430#13133139C2311yescharacteristic
431#13133139C2311yescharacteristic
432#13133139C2311yescharacteristic
433#13133139C2311yescharacteristic
434#13133139C2311yescharacteristic
435#13133139C2311yescharacteristic
436#13133139C2311yescharacteristic
437#13133139C2311yescharacteristic
438#13133139C2311yescharacteristic
439#13133139C2311yescharacteristic
440#13133139C2311yescharacteristic
441#13133139C2311yescharacteristic
442#13133139C2311yescharacteristic
443#13133139C2311yescharacteristic
444#13133139C2311yescharacteristic
445#13133139C2311yescharacteristic
446#13133139C2311yescharacteristic
447C2×#41×C53C2311yescharacteristic
448C23×C4×C53C2311yescharacteristic
449C2×M16×C53C2311yescharacteristic
450C2×M16×C53C2311yescharacteristic
451C22×C8×C53C2311yescharacteristic
452C22×C8×C53C2311yescharacteristic
453C22×C8×C53C2311yescharacteristic
454C22×C8×C53C2311yescharacteristic
455C22×C8×C53C2311yescharacteristic
456C22×C8×C53C2311yescharacteristic
457#123×C53D411yescharacteristic
458#123×C53D411yescharacteristic
459C22⋊Q8×C53D411yescharacteristic
460C22⋊Q8×C53D411yescharacteristic
461#121×C53D411yescharacteristic
462#121×C53D411yescharacteristic
463#120×C53D411yescharacteristic
464#120×C53D411yescharacteristic
465C4×D4×C53C2311yescharacteristic
466C4×D4×C53C2311yescharacteristic
467C4×D4×C53C2311yescharacteristic
468C4×D4×C53C2311yescharacteristic
469#117×C53C2311yescharacteristic
470C4⋊C8×C53C2311yescharacteristic
471C4⋊C8×C53C2311yescharacteristic
472C4⋊C8×C53C2311yescharacteristic
473C4⋊C8×C53C2311yescharacteristic
474C22⋊C8×C53C2311yescharacteristic
475C22⋊C8×C53C2311yescharacteristic
476C22⋊C8×C53C2311yescharacteristic
477C22⋊C8×C53C2311yescharacteristic
478C22⋊C8×C53C2311yescharacteristic
479C22⋊C8×C53C2311yescharacteristic
480C22⋊C8×C53C2311yescharacteristic
481C22⋊C8×C53C2311yescharacteristic
482C22⋊C8×C53C2311yescharacteristic
483C22⋊C8×C53C2311yescharacteristic
484C22⋊C8×C53C2311yescharacteristic
485C22⋊C8×C53C2311yescharacteristic
486#97×C53C2311yescharacteristic
487#97×C53C2311yescharacteristic
488C4×C8×C53C2311yescharacteristic
489C4×C8×C53C2311yescharacteristic
490C24×C53C2×D411yescharacteristic
491C23×D53—21no—
492C23×D53—21no—
493C23×D53—21no—
494C23×D53—21no—
495C23×D53—21no—
496C23×D53—21no—
497#41×C53—41no—
498#41×C53—41no—
499C2×Q8×C53C2×D411yescharacteristic
500C2×D4×C53C2×D411yescharacteristic
501C2×D4×C53C2×D411yescharacteristic
502C2×D4×C53C2×D411yescharacteristic
503C2×D4×C53C2×D411yescharacteristic
504C2×D4×C53C2×D411yescharacteristic
505C2×D4×C53C2×D411yescharacteristic
506C2×D4×C53C2×D411yescharacteristic
507C22×C4×C53—41no—
508C22×C4×C53—41no—
509C22×C4×C53C2×D411yescharacteristic
510C22×C4×C53C2×D411yescharacteristic
511C22×C4×C53C2×D411yescharacteristic
512C22×C4×C53C2411yescharacteristic
513C22×C4×C53C2411yescharacteristic
514C22×C4×C53C2411yescharacteristic
515C22×C4×C53C2411yescharacteristic
516C22×C4×C53C2411yescharacteristic
517C2×C22⋊D53—21no—
518C2×C22⋊D53—21no—
519C2×C22⋊D53—21no—
520C2×C22⋊D53—21no—
521C2×C22⋊D53—21no—
522C2×C22⋊D53—21no—
523C2×C22⋊D53—21no—
524C2×C22⋊D53—21no—
525C2×C22⋊D53—21no—
526C2×C22⋊D53—21no—
527C2×C22⋊D53—21no—
528C2×C22⋊D53—21no—
529C2×C22⋊D53—21no—
530C2×C22⋊D53—21no—
531C2×C22⋊D53—21no—
532C2×C22⋊D53—21no—
533C2×C22⋊D53—21no—
534C2×C22⋊D53—21no—
535C2×C22⋊D53—21no—
536C2×C22⋊D53—21no—
537C2×C22⋊D53—21no—
538C2×C22⋊D53—21no—
539C2×C22⋊D53—21no—
540C2×C22⋊D53—44no—
541C2×C22⋊D53—82no—
542C2×C22⋊D53—82no—
543C22×Dic53—21no—
544C22×Dic53—21no—
545C22×Dic53—21no—
546C22×Dic53—21no—
547#11719949—44no—
548#11719947—82no—
549D4×D53—44no—
550D4×D53—44no—
551D4×D53—44no—
552D4×D53—82no—
553D4×D53—82no—
554D4×D53—82no—
555#11719945—22no—
556#11719945—22no—
557#11719945—22no—
558#11719945—22no—
559#11719945—22no—
560#11719945—22no—
561#11719945—41no—
562#11719945—41no—
563#11719945—41no—
564#11719945—41no—
565#11719945—41no—
566#11719945—41no—
567#11719945—41no—
568#11719945—41no—
569#11719945—41no—
570#11719945—41no—
571#11719945—44no—
572#11719945—44no—
573C2×D212—22no—
574C2×D212—22no—
575C2×D212—22no—
576C2×D212—21no—
577C2×D212—21no—
578C2×D212—21no—
579C2×D212—21no—
580C2×D212—21no—
581C2×D212—21no—
582C2×D212—21no—
583C2×D212—21no—
584C2×D212—21no—
585C2×D212—21no—
586C2×D212—21no—
587C2×D212—21no—
588C2×D212—41no—
589C2×D212—41no—
590C2×D212—41no—
591C2×D212—41no—
592C2×D212—41no—
593C2×D212—41no—
594C2×D212—41no—
595C2×D212—41no—
596C2×D212—41no—
597C2×D212C2411yescharacteristic
598C2×D212C2411yescharacteristic
599C2×D212C2411yescharacteristic
600C2×D212C2411yescharacteristic
601C2×D212C2411yescharacteristic
602C2×D212C2411yescharacteristic
603C2×D212C2411yescharacteristic
604C2×C4×D53—21no—
605C2×C4×D53—21no—
606C2×C4×D53—21no—
607C2×C4×D53—21no—
608C2×C4×D53—21no—
609C2×C4×D53—21no—
610C2×C4×D53—21no—
611C2×C4×D53—21no—
612C2×C4×D53—21no—
613C2×C4×D53—21no—
614C2×C4×D53—21no—
615C2×C4×D53—21no—
616C2×C4×D53—21no—
617C2×C4×D53—44no—
618C2×Dic106—22no—
619C2×Dic106—21no—
620C2×Dic106—21no—
621C2×Dic106—41no—
622C2×Dic106C2411yescharacteristic
623C2×Dic106C2411yescharacteristic
624C2×Dic106C2411yescharacteristic
625M16×C53—41no—
626M16×C53—41no—
627C2×C8×C53—41no—
628C2×C8×C53—41no—
629C2×C8×C53—41no—
630C2×C8×C53—41no—
631C2×C8×C53—41no—
632C2×C8×C53—41no—
633C2×C8×C53C2411yescharacteristic
634C2×C8×C53C2411yescharacteristic
635C2×C8×C53C2411yescharacteristic
636C2×C8×C53C2411yescharacteristic
637C2×C8×C53C2411yescharacteristic
638C2×C8×C53C2411yescharacteristic
639C2×C8×C53C2411yescharacteristic
640C2×C8×C53C2411yescharacteristic
641C4⋊C4×C53C2×D411yescharacteristic
642C4⋊C4×C53C2×D411yescharacteristic
643C4⋊C4×C53C2×D411yescharacteristic
644C4⋊C4×C53C2×D411yescharacteristic
645C4⋊C4×C53C2×D411yescharacteristic
646C4⋊C4×C53C2×D411yescharacteristic
647C22⋊C4×C53C2×D411yescharacteristic
648C22⋊C4×C53C2×D411yescharacteristic
649C22⋊C4×C53C2×D411yescharacteristic
650C22⋊C4×C53C2×D411yescharacteristic
651C22⋊C4×C53C2×D411yescharacteristic
652C22⋊C4×C53C2×D411yescharacteristic
653C22⋊C4×C53C2×D411yescharacteristic
654C22⋊C4×C53C2×D411yescharacteristic
655C22⋊C4×C53C2×D411yescharacteristic
656C22⋊C4×C53C2×D411yescharacteristic
657C42×C53C2411yescharacteristic
658C42×C53C2411yescharacteristic
659C22⋊Dic53—21no—
660C22⋊Dic53—21no—
661C22⋊Dic53—21no—
662C22⋊Dic53—21no—
663C22⋊Dic53—21no—
664C22⋊Dic53—21no—
665C22⋊Dic53—21no—
666#11719921—21no—
667#11719921—21no—
668#11719921—21no—
669#11719921—21no—
670#11719921—21no—
671#11719921—21no—
672#11719921—21no—
673#11719921—21no—
674#11719921—21no—
675#11719921—21no—
676#11719921—21no—
677#11719921—21no—
678#11719921—21no—
679#11719921—21no—
680#11719921—21no—
681#11719921—21no—
682#11719921—21no—
683#11719921—21no—
684#11719921—21no—
685#11719921—21no—
686#11719921—21no—
687#11719921—21no—
688#11719921—21no—
689#11719921—21no—
690#11719921—21no—
691#11719921—21no—
692C4⋊Dic53—21no—
693C4⋊Dic53—21no—
694C4⋊Dic53—21no—
695C4⋊Dic53—21no—
696C4⋊Dic53C2411yescharacteristic
697C4⋊Dic53C2411yescharacteristic
698C4⋊Dic53C2411yescharacteristic
699C4⋊Dic53C2411yescharacteristic
700C4⋊Dic53C2411yescharacteristic
701C4⋊Dic53C2411yescharacteristic
702#11719919—21no—
703#11719919—21no—
704#11719919—21no—
705#11719919—21no—
706#11719919—21no—
707#11719919—21no—
708#11719919—21no—
709#11719919—21no—
710#11719919—21no—
711#11719919—21no—
712C4×Dic53—21no—
713C4×Dic53—21no—
714C4×Dic53—21no—
715C4×Dic53—21no—
716C4×Dic53—21no—
717Dic212—22no—
718Dic212—41no—
719D424—22no—
720D424—22no—
721D424—22no—
722D424—41no—
723D424—41no—
724D424—41no—
725D424—41no—
726D424—41no—
727D424—41no—
728D424—41no—
729D424—41no—
730D424—41no—
731#11719913—22no—
732#11719913—22no—
733#11719913—22no—
734#11719913—22no—
735#11719913—41no—
736#11719913—41no—
737#11719913—41no—
738#11719913—41no—
739#11719913—41no—
740#11719913—41no—
741C23×C53—22no—
742C23×C53—41no—
743C23×C53—41no—
744C23×C53C22×D411yescharacteristic
745C23×C53C22×D411yescharacteristic
746C23×C53C22×D411yescharacteristic
747C23×C53C22×D411yescharacteristic
748C23×C53C22×D411yescharacteristic
749C22×D53—21no—
750C22×D53—21no—
751C22×D53—21no—
752C22×D53—21no—
753C22×D53—21no—
754C22×D53—21no—
755C22×D53—21no—
756C22×D53—42no—
757C22×D53—42no—
758C22×D53—42no—
759C22×D53—42no—
760C22×D53—42no—
761C22×D53—42no—
762C22×D53—81no—
763C22×D53—81no—
764C22×D53—81no—
765C22×D53—81no—
766C22×D53—81no—
767C22×D53—81no—
768C22×D53—81no—
769C22×D53—81no—
770C22×D53—81no—
771C22×D53—81no—
772C22×D53—81no—
773C22×D53—81no—
774Q8×C53—41no—
775D4×C53—22no—
776D4×C53—22no—
777D4×C53—41no—
778D4×C53—41no—
779D4×C53—41no—
780D4×C53—41no—
781D4×C53—41no—
782C2×C4×C53—21no—
783C2×C4×C53—21no—
784C2×C4×C53—21no—
785C2×C4×C53—21no—
786C2×C4×C53—21no—
787C2×C4×C53—21no—
788C2×C4×C53—21no—
789C2×C4×C53—21no—
790C2×C4×C53—21no—
791C2×C4×C53—21no—
792C2×C4×C53—41no—
793C2×C4×C53—41no—
794C2×C4×C53—41no—
795C2×C4×C53C22×D411yescharacteristic
796C2×C4×C53C22×D411yescharacteristic
797C2×C4×C53C22×D411yescharacteristic
798C2×C4×C53C22×D411yescharacteristic
799C2×C4×C53C22×D411yescharacteristic
800C2×C4×C53C22×D411yescharacteristic
801C2×C4×C53C22×D411yescharacteristic
802C2×C4×C53C22×D411yescharacteristic
803C2×C4×C53C22×D411yescharacteristic
804C2×C4×C53C2511yescharacteristic
805C22⋊D53—24no—
806C22⋊D53—42no—
807C22⋊D53—42no—
808C22⋊D53—42no—
809C22⋊D53—42no—
810C22⋊D53—42no—
811C22⋊D53—42no—
812C22⋊D53—42no—
813C22⋊D53—42no—
814C22⋊D53—81no—
815C22⋊D53—81no—
816C22⋊D53—81no—
817C22⋊D53—81no—
818C22⋊D53—81no—
819C22⋊D53—81no—
820C22⋊D53—81no—
821C22⋊D53—81no—
822C22⋊D53—81no—
823C22⋊D53—81no—
824C22⋊D53—81no—
825C22⋊D53—81no—
826C22⋊D53—81no—
827C22⋊D53—81no—
828C2×Dic53—21no—
829C2×Dic53—21no—
830C2×Dic53—21no—
831C2×Dic53—21no—
832C2×Dic53—21no—
833C2×Dic53—21no—
834C2×Dic53—21no—
835C2×Dic53—21no—
836C2×Dic53—21no—
837C2×Dic53—42no—
838C2×Dic53—42no—
839C2×Dic53—81no—
840C2×Dic53—81no—
841D212—21no—
842D212—21no—
843D212—21no—
844D212—21no—
845D212—21no—
846D212—21no—
847D212—21no—
848D212—21no—
849D212—21no—
850D212—21no—
851D212—21no—
852D212—21no—
853D212—21no—
854D212—42no—
855D212—42no—
856D212—42no—
857D212—42no—
858D212—81no—
859D212—81no—
860D212—81no—
861D212—81no—
862D212—81no—
863D212—81no—
864D212—81no—
865D212—81no—
866D212H(5,𝔽2)12yes—
867C4×D53—24no—
868C4×D53—42no—
869C4×D53—42no—
870C4×D53—42no—
871C4×D53—42no—
872C4×D53—42no—
873C4×D53—81no—
874C4×D53—81no—
875C4×D53—81no—
876C4×D53—81no—
877C4×D53—81no—
878C4×D53—81no—
879C4×D53—81no—
880Dic106—21no—
881Dic106—21no—
882Dic106—21no—
883Dic106—21no—
884Dic106—21no—
885Dic106—42no—
886Dic106—81no—
887Dic106H(5,𝔽2)12yes—
888C8×C53—21no—
889C8×C53—21no—
890C8×C53—21no—
891C8×C53—21no—
892C8×C53—21no—
893C8×C53—21no—
894C8×C53—21no—
895C8×C53—21no—
896#61639—531nomaximal, Sylow
897C22×C53—21no—
898C22×C53—21no—
899C22×C53—21no—
900C22×C53—21no—
901C22×C53—21no—
902C22×C53—21no—
903C22×C53—21no—
904C22×C53—21no—
905C22×C53—21no—
906C22×C53—21no—
907C22×C53—21no—
908C22×C53—21no—
909C22×C53—21no—
910C22×C53—21no—
911C22×C53—82no—
912C22×C53#57612yes—
913C22×C53C23×D411yescharacteristic
914C2×D53—22no—
915C2×D53—41no—
916C2×D53—41no—
917C2×D53—41no—
918C2×D53—41no—
919C2×D53—41no—
920C2×D53—41no—
921C2×D53—41no—
922C2×D53—41no—
923C2×D53—41no—
924C2×D53—41no—
925C2×D53—41no—
926C2×D53—41no—
927C2×D53—41no—
928C2×D53—41no—
929C2×D53—41no—
930C2×D53—41no—
931C2×D53—41no—
932C2×D53—41no—
933C2×D53—41no—
934C2×D53—41no—
935C2×D53—84no—
936C2×D53—162no—
937C2×D53—162no—
938C2×D53—162no—
939C2×D53—162no—
940C2×D53—162no—
941C4×C53—21no—
942C4×C53—21no—
943C4×C53—21no—
944C4×C53—21no—
945C4×C53—21no—
946C4×C53—21no—
947C4×C53—21no—
948C4×C53—21no—
949C4×C53—21no—
950C4×C53C2×H(5,𝔽2)11yescharacteristic
951C4×C53C2×H(5,𝔽2)11yescharacteristic
952Dic53—22no—
953Dic53—41no—
954Dic53—41no—
955Dic53—41no—
956Dic53—41no—
957Dic53—41no—
958Dic53—41no—
959Dic53—41no—
960Dic53—41no—
961#3542—531no—
962#3488—531no—
963#3319—531no—
964#3310—531no—
965#3309—531no—
966#3308—531no—
967#3305—531no—
968#3300—531no—
969#3297—531no—
970#3294—531no—
971#3287—531no—
972#3282—531no—
973#3280—531no—
974D4×D8—531no—
975#3268—531no—
976#3268—531no—
977#3265—531no—
978#3264—531no—
979#3224—531no—
980#3220—531no—
981#3203—531no—
982#3198—531no—
983#3188—531no—
984#3186—531no—
985#3124—531no—
986#3119—531no—
987#3012—531no—
988#3008—531no—
989#3002—531no—
990C2×#449—531no—
991#2977D5311yescharacteristic, complemented
992C2×C53—22no—
993C2×C53—41no—
994C2×C53—41no—
995C2×C53—41no—
996C2×C53—41no—
997C2×C53#348411yescharacteristic
998C2×C53C2×#57611yescharacteristic
999C2×C53#358411yescharacteristic
1000D53—42no—
1001D53—81no—
1002D53—81no—
1003D53—81no—
1004D53—81no—
1005D53—81no—
1006D53—81no—
1007C2×H(5,𝔽2)—531no—
1008C22×#41—531no—
1009C2×AGL(1,ℤ/8)—531no—
1010C2×AGL(1,ℤ/8)—531no—
1011C2×#135—531no—
1012C2×#135—531no—
1013C2×#135—531no—
1014C22×SD16—531no—
1015C22×D8—531no—
1016C22×D8—531no—
1017#562—1061no—
1018#560—1061no—
1019#555—531no—
1020#553—531no—
1021#552—531no—
1022#551—1061no—
1023#550—531no—
1024#550—531no—
1025#550—531no—
1026#548—531no—
1027#548—531no—
1028#547—531no—
1029#546—531no—
1030#546—531no—
1031#546—531no—
1032#546—531no—
1033#546—1061no—
1034#546—1061no—
1035#546—1061no—
1036D42—531no—
1037D42—531no—
1038D42—531no—
1039D42—1061no—
1040D42—1061no—
1041#542—531no—
1042#540—531no—
1043#540—1061no—
1044#538—1061no—
1045#537—531no—
1046#537—531no—
1047#537—1061no—
1048#535—531no—
1049#535—531no—
1050#535—1061no—
1051#535—1061no—
1052#534—1061no—
1053#525—531no—
1054#525—1061no—
1055#525C2×D5311yescharacteristic
1056C2×#121—531no—
1057C2×#121—531no—
1058C2×#121—1061no—
1059#520—531no—
1060#496—531no—
1061#496—531no—
1062#495—531no—
1063#493—531no—
1064#490—531no—
1065#489—531no—
1066#488—531no—
1067#486—531no—
1068#485—531no—
1069#484—531no—
1070#484—531no—
1071#482—531no—
1072#482—531no—
1073#482—531no—
1074#481—531no—
1075#480—531no—
1076#480—531no—
1077#480—531no—
1078#480—531no—
1079#480—531no—
1080#479—531no—
1081#478—531no—
1082#477—531no—
1083#474—531no—
1084#469—531no—
1085#468—531no—
1086#468—531no—
1087#468—531no—
1088#467—531no—
1089#466—531no—
1090#466—531no—
1091#466—531no—
1092#466—531no—
1093#466—531no—
1094#466—531no—
1095#466—531no—
1096#466—531no—
1097#465—531no—
1098#465—531no—
1099#465—531no—
1100#464—531no—
1101#464—531no—
1102#463—531no—
1103#463—531no—
1104#463—531no—
1105#463—531no—
1106#460—531no—
1107#460—531no—
1108#459—531no—
1109#459—531no—
1110#459—531no—
1111#459—531no—
1112#452—531no—
1113#452—531no—
1114#452—531no—
1115#452—531no—
1116#451—531no—
1117#450—531no—
1118#450—531no—
1119#450—531no—
1120#450—531no—
1121#449—531no—
1122#449—531no—
1123#449—531no—
1124#449—531no—
1125#449—531no—
1126#449—531no—
1127#449—531no—
1128#449—531no—
1129#449—531no—
1130#449—531no—
1131#449—531no—
1132#449—531no—
1133#449—531no—
1134#449—531no—
1135#449—531no—
1136#449—531no—
1137#448—531no—
1138#447—531no—
1139#447—531no—
1140#447—531no—
1141#447—531no—
1142#447—531no—
1143#447—531no—
1144#447—531no—
1145#447—531no—
1146#447—531no—
1147#447—531no—
1148#442—531no—
1149#440—531no—
1150#440—531no—
1151#440—531no—
1152C4×Q16—531no—
1153C4×SD16—531no—
1154C4×D8—531no—
1155C4×D8—531no—
1156#435C2×D5311yescharacteristic, complemented
1157#435C2×D5311yescharacteristic, complemented
1158#435C2×D5311yescharacteristic, complemented
1159#435C2×D5311yescharacteristic, complemented
1160C8×D4C2×D5311yescharacteristic, complemented
1161C8×D4C2×D5311yescharacteristic, complemented
1162C8×D4C2×D5311yescharacteristic, complemented
1163C8×D4C2×D5311yescharacteristic, complemented
1164#433C2×D5311yescharacteristic, complemented
1165#433C2×D5311yescharacteristic, complemented
1166#418—531no—
1167#417—531no—
1168#416—531no—
1169#416—531no—
1170#416—531no—
1171C2×#103—531no—
1172C2×#102—531no—
1173C2×#102—531no—
1174#408C2×D5311yescharacteristic, complemented
1175#408C2×D5311yescharacteristic, complemented
1176C2×C22⋊C8C2×D5311yescharacteristic, complemented
1177C2×C22⋊C8C2×D5311yescharacteristic, complemented
1178C53#6163911yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—2122no—
1180H(5,𝔽2)—2122no—
1181C2×#41—531no—
1182C2×#41—531no—
1183C2×#41—531no—
1184C2×#41—531no—
1185C2×#41—531no—
1186C2×#41—531no—
1187C2×#41—531no—
1188C2×#41—531no—
1189C2×#41—1061no—
1190C2×#41—1061no—
1191C2×#41—1061no—
1192C2×#41—1061no—
1193C2×#41—2122no—
1194C2×#41—2122no—
1195C2×#41C22×D5311yescharacteristic
1196C22×Q8—531no—
1197C22×D4—531no—
1198C22×D4—531no—
1199C22×D4—531no—
1200C22×D4—531no—
1201C22×D4—531no—
1202C22×D4—531no—
1203C22×D4—1061no—
1204C22×D4—1061no—
1205C22×D4—1061no—
1206C22×D4—1061no—
1207C22×D4—1061no—
1208C22×D4—1061no—
1209C22×D4—1061no—
1210C22×D4—1061no—
1211C22×D4—1061no—
1212C23×C4—1061no—
1213C23×C4C22×D5311yescharacteristic
1214AGL(1,ℤ/8)—2122no—
1215AGL(1,ℤ/8)—2122no—
1216#135—2122no—
1217#135—2122no—
1218#135—2122no—
1219C2×Q16—531no—
1220C2×Q16—531no—
1221C2×SD16—531no—
1222C2×SD16—531no—
1223C2×SD16—531no—
1224C2×SD16—531no—
1225C2×SD16—531no—
1226C2×SD16—531no—
1227C2×SD16—531no—
1228C2×SD16—531no—
1229C2×SD16—531no—
1230C2×SD16—531no—
1231C2×SD16—2122no—
1232C2×D8—531no—
1233C2×D8—531no—
1234C2×D8—531no—
1235C2×D8—531no—
1236C2×D8—531no—
1237C2×D8—531no—
1238C2×D8—531no—
1239C2×D8—531no—
1240C2×D8—531no—
1241C2×D8—531no—
1242C2×D8—531no—
1243C2×D8—531no—
1244C2×D8—2122no—
1245C2×D8—2122no—
1246C2×M16C22×D5311yescharacteristic
1247C2×M16C22×D5311yescharacteristic
1248C22×C8C22×D5311yescharacteristic
1249C22×C8C22×D5311yescharacteristic
1250C22×C8C22×D5311yescharacteristic
1251C22×C8C22×D5311yescharacteristic
1252C22×C8C22×D5311yescharacteristic
1253C22×C8C22×D5311yescharacteristic
1254C4⋊Q8—531no—
1255#127—531no—
1256#127—531no—
1257#127—531no—
1258#127—1061no—
1259#127—1061no—
1260#127—1061no—
1261#127—1061no—
1262#126—1061no—
1263#126—1061no—
1264#126—1061no—
1265#125—531no—
1266#125—1061no—
1267#124—531no—
1268#124—531no—
1269#124—531no—
1270#124—1061no—
1271#124—1061no—
1272#124—1061no—
1273#124—1061no—
1274#124—1061no—
1275#124—1061no—
1276#123—1061no—
1277#123—1061no—
1278#123—1061no—
1279#123—1061no—
1280#123—1061no—
1281#123—1061no—
1282#123—1061no—
1283#123—1061no—
1284#123—1061no—
1285#123—1061no—
1286#123—1061no—
1287#123—1061no—
1288#123D21211yescharacteristic
1289#123D21211yescharacteristic
1290C22⋊Q8—531no—
1291C22⋊Q8—531no—
1292C22⋊Q8—531no—
1293C22⋊Q8—531no—
1294C22⋊Q8—531no—
1295C22⋊Q8—1061no—
1296C22⋊Q8—1061no—
1297C22⋊Q8—1061no—
1298C22⋊Q8—1061no—
1299C22⋊Q8—1061no—
1300C22⋊Q8—1061no—
1301C22⋊Q8D21211yescharacteristic
1302C22⋊Q8D21211yescharacteristic
1303#121—531no—
1304#121—531no—
1305#121—531no—
1306#121—531no—
1307#121—531no—
1308#121—531no—
1309#121—531no—
1310#121—531no—
1311#121—531no—
1312#121—531no—
1313#121—531no—
1314#121—531no—
1315#121—531no—
1316#121—531no—
1317#121—531no—
1318#121—1061no—
1319#121—1061no—
1320#121—1061no—
1321#121—1061no—
1322#121—1061no—
1323#121—1061no—
1324#121—1061no—
1325#121—1061no—
1326#121—1061no—
1327#121—1061no—
1328#121—1061no—
1329#121—1061no—
1330#121—1061no—
1331#121—1061no—
1332#121—1061no—
1333#121—1061no—
1334#121—1061no—
1335#121—1061no—
1336#121—1061no—
1337#121—1061no—
1338#121—1061no—
1339#121—1061no—
1340#121—1061no—
1341#121—1061no—
1342#121—1061no—
1343#121—1061no—
1344#121—1061no—
1345#121—1061no—
1346#121—1061no—
1347#121—1061no—
1348#121—1061no—
1349#121D21211yescharacteristic
1350#121D21211yescharacteristic
1351#120—1061no—
1352#120—1061no—
1353#120—1061no—
1354#120—1061no—
1355#120—1061no—
1356#120—1061no—
1357#120—1061no—
1358#120—1061no—
1359#120—1061no—
1360#120—1061no—
1361#120—1061no—
1362#120—1061no—
1363#120—1061no—
1364#120—1061no—
1365#120—1061no—
1366#120D21211yescharacteristic
1367#120D21211yescharacteristic
1368C4×Q8—531no—
1369C4×Q8—531no—
1370C4×Q8—531no—
1371C4×D4—531no—
1372C4×D4—531no—
1373C4×D4—531no—
1374C4×D4—531no—
1375C4×D4—531no—
1376C4×D4—1061no—
1377C4×D4—1061no—
1378C4×D4—1061no—
1379C4×D4—1061no—
1380C4×D4—1061no—
1381C4×D4—1061no—
1382C4×D4—1061no—
1383C4×D4—1061no—
1384C4×D4—1061no—
1385C4×D4—1061no—
1386C4×D4C22×D5311yescharacteristic
1387C4×D4C22×D5311yescharacteristic
1388C4×D4C22×D5311yescharacteristic
1389C4×D4C22×D5311yescharacteristic
1390#117—531no—
1391#117—531no—
1392#117—1061no—
1393#117—1061no—
1394#117—1061no—
1395#117C22×D5311yescharacteristic
1396C2×C4⋊C4—531no—
1397C2×C4⋊C4—531no—
1398C2×C4⋊C4—531no—
1399C2×C4⋊C4—1061no—
1400C2×C22⋊C4—1061no—
1401C2×C22⋊C4—1061no—
1402C2×C22⋊C4—1061no—
1403C2×C22⋊C4—1061no—
1404C2×C22⋊C4—1061no—
1405C2×C22⋊C4—1061no—
1406#107—531no—
1407#107—531no—
1408#107—531no—
1409#107—531no—
1410#107—531no—
1411#107—531no—
1412#106—531no—
1413#106—531no—
1414C4⋊C8C22×D5311yescharacteristic
1415C4⋊C8C22×D5311yescharacteristic
1416C4⋊C8C22×D5311yescharacteristic
1417C4⋊C8C22×D5311yescharacteristic
1418#103—531no—
1419#103—531no—
1420#103—531no—
1421#103—531no—
1422#103—531no—
1423#103—531no—
1424#103—531no—
1425#103—531no—
1426#103—531no—
1427#103—531no—
1428#102—531no—
1429#102—531no—
1430#102—531no—
1431#102—531no—
1432#102—531no—
1433#102—531no—
1434#102—531no—
1435#102—531no—
1436#102—531no—
1437#102—531no—
1438#102—531no—
1439#102—531no—
1440#102—531no—
1441#102—531no—
1442#102—531no—
1443#102—531no—
1444#102—531no—
1445#102—531no—
1446#102—531no—
1447#102—531no—
1448#102—531no—
1449#102—531no—
1450C22⋊C8C22×D5311yescharacteristic
1451C22⋊C8C22×D5311yescharacteristic
1452C22⋊C8C22×D5311yescharacteristic
1453C22⋊C8C22×D5311yescharacteristic
1454C22⋊C8C22×D5311yescharacteristic
1455C22⋊C8C22×D5311yescharacteristic
1456C22⋊C8C22×D5311yescharacteristic
1457C22⋊C8C22×D5311yescharacteristic
1458C22⋊C8C22×D5311yescharacteristic
1459C22⋊C8C22×D5311yescharacteristic
1460C22⋊C8C22×D5311yescharacteristic
1461C22⋊C8C22×D5311yescharacteristic
1462#97C22×D5311yescharacteristic
1463#97C22×D5311yescharacteristic
1464C4×C8C22×D5311yescharacteristic
1465C4×C8C22×D5311yescharacteristic
1466C24—1061no—
1467C24—1061no—
1468C24—1061no—
1469C24—1061no—
1470C24—1061no—
1471C24—1061no—
1472C24C2×D21211yescharacteristic
1473#41—41no—
1474#41—41no—
1475#41—1062no—
1476#41—1062no—
1477#41—1062no—
1478#41—1062no—
1479#41—1062no—
1480#41—1062no—
1481#41—4242no—
1482#41—2121no—
1483#41—2121no—
1484#41—2121no—
1485#41—2121no—
1486#41—2121no—
1487#41—2121no—
1488#41—2121no—
1489#41—2121no—
1490#41—2121no—
1491#41—2121no—
1492#41—2124no—
1493#41—2124no—
1494#41—2124no—
1495C2×Q8—531no—
1496C2×Q8—531no—
1497C2×Q8—531no—
1498C2×Q8—1062no—
1499C2×Q8—1061no—
1500C2×Q8—1061no—
1501C2×Q8—2121no—
1502C2×Q8C2×D21211yescharacteristic
1503C2×D4—531no—
1504C2×D4—531no—
1505C2×D4—531no—
1506C2×D4—531no—
1507C2×D4—531no—
1508C2×D4—531no—
1509C2×D4—531no—
1510C2×D4—1062no—
1511C2×D4—1062no—
1512C2×D4—1062no—
1513C2×D4—1061no—
1514C2×D4—1061no—
1515C2×D4—1061no—
1516C2×D4—1061no—
1517C2×D4—1061no—
1518C2×D4—1061no—
1519C2×D4—1061no—
1520C2×D4—1061no—
1521C2×D4—1061no—
1522C2×D4—1061no—
1523C2×D4—1061no—
1524C2×D4—1061no—
1525C2×D4—1061no—
1526C2×D4—1061no—
1527C2×D4—1061no—
1528C2×D4—1061no—
1529C2×D4—1061no—
1530C2×D4—1061no—
1531C2×D4—1061no—
1532C2×D4—1061no—
1533C2×D4—1061no—
1534C2×D4—1061no—
1535C2×D4—1061no—
1536C2×D4—1061no—
1537C2×D4—1061no—
1538C2×D4—1061no—
1539C2×D4—1061no—
1540C2×D4—1061no—
1541C2×D4—1061no—
1542C2×D4—1061no—
1543C2×D4—1061no—
1544C2×D4—1061no—
1545C2×D4—1061no—
1546C2×D4—1061no—
1547C2×D4—1061no—
1548C2×D4—4242no—
1549C2×D4—4242no—
1550C2×D4—4242no—
1551C2×D4—4242no—
1552C2×D4—4242no—
1553C2×D4—2121no—
1554C2×D4—2121no—
1555C2×D4—2121no—
1556C2×D4—2121no—
1557C2×D4—2121no—
1558C2×D4—2121no—
1559C2×D4—2121no—
1560C2×D4—2121no—
1561C2×D4—2121no—
1562C2×D4—2124no—
1563C2×D4—2124no—
1564C2×D4—2124no—
1565C2×D4—2124no—
1566C2×D4C2×D21211yescharacteristic
1567C2×D4C2×D21211yescharacteristic
1568C2×D4C2×D21211yescharacteristic
1569C2×D4C2×D21211yescharacteristic
1570C2×D4C2×D21211yescharacteristic
1571C2×D4C2×D21211yescharacteristic
1572C2×D4C2×D21211yescharacteristic
1573C22×C4—41no—
1574C22×C4—41no—
1575C22×C4—1061no—
1576C22×C4—1061no—
1577C22×C4—1061no—
1578C22×C4—1061no—
1579C22×C4—1061no—
1580C22×C4—1061no—
1581C22×C4—1061no—
1582C22×C4—1061no—
1583C22×C4—1061no—
1584C22×C4—1061no—
1585C22×C4—1061no—
1586C22×C4—1061no—
1587C22×C4—1061no—
1588C22×C4—1061no—
1589C22×C4—1061no—
1590C22×C4—1061no—
1591C22×C4—1061no—
1592C22×C4—2124no—
1593C22×C4C2×D21211yescharacteristic
1594C22×C4C2×D21211yescharacteristic
1595C22×C4C2×D21211yescharacteristic
1596C22×C4C23×D5311yescharacteristic
1597C22×C4C23×D5311yescharacteristic
1598C22×C4C23×D5311yescharacteristic
1599C22×C4C23×D5311yescharacteristic
1600C22×C4C23×D5311yescharacteristic
1601Q16—1062no—
1602Q16—2121no—
1603SD16—1062no—
1604SD16—1062no—
1605SD16—1062no—
1606SD16—1062no—
1607SD16—2121no—
1608SD16—2121no—
1609SD16—2121no—
1610SD16—2121no—
1611SD16—2121no—
1612SD16—2121no—
1613D8—1062no—
1614D8—1062no—
1615D8—1062no—
1616D8—2121no—
1617D8—2121no—
1618D8—2121no—
1619D8—2121no—
1620D8—2121no—
1621D8—2121no—
1622D8—2121no—
1623D8—2121no—
1624D8—2121no—
1625M16—41no—
1626M16—41no—
1627C2×C8—41no—
1628C2×C8—41no—
1629C2×C8—41no—
1630C2×C8—41no—
1631C2×C8—41no—
1632C2×C8—41no—
1633C2×C8C23×D5311yescharacteristic
1634C2×C8C23×D5311yescharacteristic
1635C2×C8C23×D5311yescharacteristic
1636C2×C8C23×D5311yescharacteristic
1637C2×C8C23×D5311yescharacteristic
1638C2×C8C23×D5311yescharacteristic
1639C2×C8C23×D5311yescharacteristic
1640C2×C8C23×D5311yescharacteristic
1641C4⋊C4—531no—
1642C4⋊C4—531no—
1643C4⋊C4—531no—
1644C4⋊C4—531no—
1645C4⋊C4—531no—
1646C4⋊C4—531no—
1647C4⋊C4—1061no—
1648C4⋊C4—1061no—
1649C4⋊C4—1061no—
1650C4⋊C4—1061no—
1651C4⋊C4—1061no—
1652C4⋊C4—1061no—
1653C4⋊C4—1061no—
1654C4⋊C4—1061no—
1655C4⋊C4—1061no—
1656C4⋊C4—1061no—
1657C4⋊C4—1061no—
1658C4⋊C4—1061no—
1659C4⋊C4—1061no—
1660C4⋊C4—1061no—
1661C4⋊C4C2×D21211yescharacteristic
1662C4⋊C4C2×D21211yescharacteristic
1663C4⋊C4C2×D21211yescharacteristic
1664C4⋊C4C2×D21211yescharacteristic
1665C4⋊C4C2×D21211yescharacteristic
1666C4⋊C4C2×D21211yescharacteristic
1667C22⋊C4—1061no—
1668C22⋊C4—1061no—
1669C22⋊C4—1061no—
1670C22⋊C4—1061no—
1671C22⋊C4—1061no—
1672C22⋊C4—1061no—
1673C22⋊C4—1061no—
1674C22⋊C4—1061no—
1675C22⋊C4—1061no—
1676C22⋊C4—1061no—
1677C22⋊C4—1061no—
1678C22⋊C4—1061no—
1679C22⋊C4—1061no—
1680C22⋊C4—1061no—
1681C22⋊C4—1061no—
1682C22⋊C4—1061no—
1683C22⋊C4—1061no—
1684C22⋊C4—1061no—
1685C22⋊C4—1061no—
1686C22⋊C4—1061no—
1687C22⋊C4—1061no—
1688C22⋊C4—1061no—
1689C22⋊C4—1061no—
1690C22⋊C4—1061no—
1691C22⋊C4—1061no—
1692C22⋊C4—1061no—
1693C22⋊C4—1061no—
1694C22⋊C4—1061no—
1695C22⋊C4—1061no—
1696C22⋊C4—1061no—
1697C22⋊C4—1061no—
1698C22⋊C4—1061no—
1699C22⋊C4—1061no—
1700C22⋊C4C2×D21211yescharacteristic
1701C22⋊C4C2×D21211yescharacteristic
1702C22⋊C4C2×D21211yescharacteristic
1703C22⋊C4C2×D21211yescharacteristic
1704C22⋊C4C2×D21211yescharacteristic
1705C22⋊C4C2×D21211yescharacteristic
1706C22⋊C4C2×D21211yescharacteristic
1707C22⋊C4C2×D21211yescharacteristic
1708C22⋊C4C2×D21211yescharacteristic
1709C22⋊C4C2×D21211yescharacteristic
1710C42—1061no—
1711C42—1061no—
1712C42—1061no—
1713C42—1061no—
1714C42—1061no—
1715C42C23×D5311yescharacteristic
1716C42C23×D5311yescharacteristic
1717C23—22no—
1718C23—41no—
1719C23—41no—
1720C23—1061no—
1721C23—1061no—
1722C23—1061no—
1723C23—1061no—
1724C23—1061no—
1725C23—1061no—
1726C23—1061no—
1727C23—4241no—
1728C23—4241no—
1729C23—4241no—
1730C23—4241no—
1731C23—4241no—
1732C23—4241no—
1733C23—4241no—
1734C23—4241no—
1735C23—4241no—
1736C23—4241no—
1737C23—4241no—
1738C23—4241no—
1739C23—2122no—
1740C23—2122no—
1741C23—2122no—
1742C23—2122no—
1743C23—2122no—
1744C23—2122no—
1745C23C22×D21211yescharacteristic
1746C23C22×D21211yescharacteristic
1747C23C22×D21211yescharacteristic
1748C23C22×D21211yescharacteristic
1749C23C22×D21211yescharacteristic
1750Q8—41no—
1751Q8—532no—
1752Q8—1061no—
1753Q8—1061no—
1754Q8—1061no—
1755Q8—1061no—
1756Q8—1061no—
1757Q8—4241no—
1758Q8—2122no—
1759D4—22no—
1760D4—22no—
1761D4—41no—
1762D4—41no—
1763D4—41no—
1764D4—41no—
1765D4—41no—
1766D4—532no—
1767D4—1064no—
1768D4—1061no—
1769D4—1061no—
1770D4—1061no—
1771D4—1061no—
1772D4—1061no—
1773D4—1061no—
1774D4—1061no—
1775D4—1061no—
1776D4—1061no—
1777D4—1061no—
1778D4—1061no—
1779D4—1061no—
1780D4—1061no—
1781D4—4241no—
1782D4—4241no—
1783D4—4241no—
1784D4—4241no—
1785D4—4241no—
1786D4—4241no—
1787D4—4241no—
1788D4—4241no—
1789D4—4241no—
1790D4—4241no—
1791D4—4241no—
1792D4—4241no—
1793D4—4241no—
1794D4—4241no—
1795D4—4241no—
1796D4—4241no—
1797D4—4241no—
1798D4—4241no—
1799D4—4241no—
1800D4—4241no—
1801D4—4241no—
1802D4—4241no—
1803D4—2122no—
1804D4—2122no—
1805D4—2122no—
1806D4—2122no—
1807D4—2122no—
1808D4—2122no—
1809D4—2122no—
1810D4—2122no—
1811D4—2122no—
1812D4—2122no—
1813D4—2122no—
1814D4—2122no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—41no—
1826C2×C4—41no—
1827C2×C4—41no—
1828C2×C4—1064no—
1829C2×C4—1061no—
1830C2×C4—1061no—
1831C2×C4—1061no—
1832C2×C4—1061no—
1833C2×C4—1061no—
1834C2×C4—1061no—
1835C2×C4—1061no—
1836C2×C4—1061no—
1837C2×C4—1061no—
1838C2×C4—4241no—
1839C2×C4—4241no—
1840C2×C4—4241no—
1841C2×C4—4241no—
1842C2×C4—4241no—
1843C2×C4—4241no—
1844C2×C4—4241no—
1845C2×C4—4241no—
1846C2×C4—4241no—
1847C2×C4—2122no—
1848C2×C4—2122no—
1849C2×C4—2122no—
1850C2×C4—2122no—
1851C2×C4—2122no—
1852C2×C4—2122no—
1853C2×C4—2122no—
1854C2×C4C22×D21211yescharacteristic
1855C2×C4C22×D21211yescharacteristic
1856C2×C4C22×D21211yescharacteristic
1857C2×C4C22×D21211yescharacteristic
1858C2×C4C22×D21211yescharacteristic
1859C2×C4C22×D21211yescharacteristic
1860C2×C4C22×D21211yescharacteristic
1861C2×C4C22×D21211yescharacteristic
1862C2×C4C22×D21211yescharacteristic
1863C2×C4C24×D5311yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—21no—
1869C8—21no—
1870C8—21no—
1871C8—21no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—21no—
1882C22—21no—
1883C22—21no—
1884C22—21no—
1885C22—21no—
1886C22—82no—
1887C22—8482no—
1888C22—8482no—
1889C22—8482no—
1890C22—8482no—
1891C22—8482no—
1892C22—1062no—
1893C22—4244no—
1894C22—2121no—
1895C22—2121no—
1896C22—2121no—
1897C22—2121no—
1898C22—2121no—
1899C22—2121no—
1900C22—2121no—
1901C22—2121no—
1902C22—2121no—
1903C22—2121no—
1904C22—2121no—
1905C22—2121no—
1906C22—2121no—
1907C22—2121no—
1908C22—2121no—
1909C22—2121no—
1910C22—2121no—
1911C22—2121no—
1912C22—2121no—
1913C22—2121no—
1914C22#1681142812yes—
1915C22C23×D21211yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—21no—
1921C4—21no—
1922C4—21no—
1923C4—21no—
1924C4—21no—
1925C4—1062no—
1926C4—2121no—
1927C4—2121no—
1928C4—2121no—
1929C4—2121no—
1930C4—2121no—
1931C4—2121no—
1932C4—2121no—
1933C4—2121no—
1934C4H(5,𝔽2)×D5311yescharacteristic
1935C4H(5,𝔽2)×D5311yescharacteristic
1936C2—22no—
1937C2—41no—
1938C2—41no—
1939C2—41no—
1940C2—41no—
1941C2—4241no—
1942C2—4241no—
1943C2—4241no—
1944C2—4241no—
1945C2—4241no—
1946C2—4241no—
1947C2—2122no—
1948C2#2028835111yescharacteristic
1949C2C2×#1681142811yescharacteristic
1950C2#2028948911yescharacteristic
subgroupG/H
centerC22C23×D212
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#2977C2
socleC22×C53C23×D4
hypercenter#2977D53
hypocenterC53#61639
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #525 ◁ #2977

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #20289031C2semidirect
2. #20288376C2semidirect
3. #20286873C2semidirect
4. #20286738C2semidirect
5. #20286723C2semidirect
6. #20286708C2semidirect
7. #20286666C2semidirect
8. #20286604C2semidirect
9. #20286567C2semidirect
10. #20286529C2semidirect
11. #20286475C2semidirect
12. #20286427C2semidirect
13. #20286402C2semidirect
14. D4×D424C2semidirect
15. #20286260C2semidirect
16. #20286260C2semidirect
17. #20286215C2semidirect
18. #20286200C2semidirect
19. #20285811C2semidirect
20. #20285767C2semidirect
21. #20285617C2semidirect
22. #20285569C2semidirect
23. #20285482C2semidirect
24. #20285466C2semidirect
25. #20284979C2semidirect
26. #20284916C2semidirect
27. #20284022C2semidirect
28. #20283985C2semidirect
29. #20283937C2semidirect
30. C2×#16810770C2semidirect
31. C53×#2977C2semidirect
32. C2×#13133263C22semidirect
33. C22×#11719945C22semidirect
34. C2×#13133245C22semidirect
35. C2×#13133245C22semidirect
36. C2×#13133239C22semidirect
37. C2×#13133239C22semidirect
38. C2×#13133239C22semidirect
39. C22×#11719913C22semidirect
40. C22×D424C22semidirect
41. C22×D424C22semidirect
44. #16811338C22semidirect
45. #16811319C22semidirect
46. #16811313C22semidirect
48. #16811294C22semidirect
49. #16811294C22semidirect
50. #16811294C22semidirect
52. #16811282C22semidirect
53. #16811277C22semidirect
54. #16811269C22semidirect
55. #16811269C22semidirect
56. #16811269C22semidirect
57. #16811269C22semidirect
62. D4×D212C22semidirect
63. D4×D212C22semidirect
66. #16811244C22semidirect
67. #16811228C22semidirect
71. #16811201C22semidirect
72. #16811201C22semidirect
73. #16811192C22semidirect
76. #16811187C22semidirect
79. #16811134C22semidirect
80. C2×#13133191C22semidirect
81. C2×#13133191C22semidirect
83. #16811103C22semidirect
84. #16811012C22semidirect
85. #16811012C22semidirect
86. #16811007C22semidirect
87. #16811000C22semidirect
88. #16810988C22semidirect
89. #16810983C22semidirect
90. #16810978C22semidirect
91. #16810970C22semidirect
92. #16810965C22semidirect
93. #16810959C22semidirect
94. #16810959C22semidirect
95. #16810948C22semidirect
96. #16810948C22semidirect
97. #16810948C22semidirect
98. #16810942C22semidirect
99. #16810937C22semidirect
100. #16810937C22semidirect
101. #16810937C22semidirect
102. #16810937C22semidirect
103. #16810937C22semidirect
104. #16810931C22semidirect
105. #16810924C22semidirect
106. #16810919C22semidirect
107. #16810904C22semidirect
108. #16810876C22semidirect
109. #16810869C22semidirect
110. #16810869C22semidirect
111. #16810869C22semidirect
112. #16810864C22semidirect
113. #16810859C22semidirect
114. #16810859C22semidirect
115. #16810859C22semidirect
116. #16810859C22semidirect
117. #16810859C22semidirect
118. #16810859C22semidirect
119. #16810859C22semidirect
120. #16810859C22semidirect
121. #16810852C22semidirect
122. #16810852C22semidirect
123. #16810852C22semidirect
124. #16810846C22semidirect
125. #16810846C22semidirect
126. #16810839C22semidirect
127. #16810839C22semidirect
128. #16810839C22semidirect
129. #16810839C22semidirect
130. #16810824C22semidirect
131. #16810824C22semidirect
132. #16810819C22semidirect
133. #16810819C22semidirect
134. #16810819C22semidirect
135. #16810819C22semidirect
136. #16810787C22semidirect
137. #16810787C22semidirect
138. #16810787C22semidirect
139. #16810787C22semidirect
140. #16810781C22semidirect
141. #16810776C22semidirect
142. #16810776C22semidirect
143. #16810776C22semidirect
144. #16810776C22semidirect
146. #16810770C22semidirect
147. #16810770C22semidirect
148. #16810770C22semidirect
149. #16810770C22semidirect
150. #16810770C22semidirect
151. #16810770C22semidirect
152. #16810770C22semidirect
153. #16810770C22semidirect
154. #16810770C22semidirect
155. #16810770C22semidirect
156. #16810770C22semidirect
157. #16810770C22semidirect
158. #16810770C22semidirect
159. #16810770C22semidirect
160. #16810770C22semidirect
161. #16810764C22semidirect
162. #16810759C22semidirect
163. #16810759C22semidirect
164. #16810759C22semidirect
165. #16810759C22semidirect
166. #16810759C22semidirect
167. #16810759C22semidirect
168. #16810759C22semidirect
169. #16810759C22semidirect
170. #16810759C22semidirect
171. #16810759C22semidirect
172. #16810736C22semidirect
173. #16810725C22semidirect
174. #16810725C22semidirect
175. #16810725C22semidirect
176. C4×Dic212C22semidirect
177. C4×#11719913C22semidirect
178. C4×D424C22semidirect
179. C4×D424C22semidirect
180. #16810629C22semidirect
181. #16810625C22semidirect
182. #16810620C22semidirect
183. #16810620C22semidirect
184. #16810620C22semidirect
185. C2×#13133142C22semidirect
186. C2×#13133139C22semidirect
187. C2×#13133139C22semidirect
189. C53×#435C22semidirect
190. C53×#435C22semidirect
191. C53×#435C22semidirect
192. C53×#435C22semidirect
193. C8×D4×C53C22semidirect
194. C8×D4×C53C22semidirect
195. C8×D4×C53C22semidirect
196. C8×D4×C53C22semidirect
197. C53×#433C22semidirect
198. C53×#433C22semidirect
199. C53×#408C22semidirect
200. C53×#408C22semidirect
201. C2×C22⋊C8×C53C22semidirect
202. C2×C22⋊C8×C53C22semidirect
991. #2977D53semidirect
1156. #435C2×D53semidirect
1157. #435C2×D53semidirect
1158. #435C2×D53semidirect
1159. #435C2×D53semidirect
1160. C8×D4C2×D53semidirect
1161. C8×D4C2×D53semidirect
1162. C8×D4C2×D53semidirect
1163. C8×D4C2×D53semidirect
1164. #433C2×D53semidirect
1165. #433C2×D53semidirect
1174. #408C2×D53semidirect
1175. #408C2×D53semidirect
1176. C2×C22⋊C8C2×D53semidirect
1177. C2×C22⋊C8C2×D53semidirect
1178. C53#61639semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#202890312
#202883762
#202868732
#202867382
#202867232
#202867082
#202866662
#202866042
#202865672
#202865292
#202864752
#202864272
#202864022
D4×D4242
#202862602
#202862152
#202862002
#202858112
#202857672
#202856172
#202855692
#202854822
#202854662
#202849792
#202849162
#202840222
#202839852
#202839372
C2×#168107702
C53×#29772
#6163953